Baixe o app para aproveitar ainda mais
Prévia do material em texto
Fórmulas 𝑢 = 𝜔 𝛽 = 𝜆𝑓 𝛾2 = 𝑗𝜔𝜇(𝜎 + 𝑗𝜔𝜀) = 𝛼 + 𝑗𝛽 𝛼 = 𝜔√ 𝜇𝜀 2 [√1 + [ 𝜎 𝜔𝜀 ] 2 − 1] 𝛽 = 𝜔√ 𝜇𝜀 2 [√1 + [ 𝜎 𝜔𝜀 ] 2 + 1] 𝜂 = √ 𝑗𝜔𝜇 𝜎 + 𝑗𝜔𝜀 |𝜂| = √𝜇/𝜀 [1 + ( 𝜎 𝜔𝜀) 2 ] 1/4 , tan(2𝜃𝜂) = 𝜎 𝜔𝜀 tan(𝜃) = 𝜎 𝜔𝜀 𝜀𝑐 = 𝜀 ′ − 𝑗𝜀′′ = 𝜀 (1 − 𝑗 𝜎 𝜔𝜀 ) 𝑢 = 1 √𝜇𝜀 𝜂 = √ 𝜇 𝜀 ∠0° 𝛿 = 1 √𝜋𝑓𝜇𝜎 Γ = 𝜂2 − 𝜂1 𝜂2 + 𝜂1 = 𝐸𝑟𝑜 𝐸𝑖𝑜 𝜏 = 2𝜂2 𝜂2 + 𝜂1 = 𝐸𝑡𝑜 𝐸𝑖𝑜 𝑅(Ω/𝑚) = 1 2𝜋𝛿𝜎𝑐 ( 1 𝑎 + 1 𝑏 ) 𝑅 ( Ω 𝑚 ) = 1 𝜋𝑎𝛿𝜎𝑐 𝐿(H/𝑚) = 𝜇 2𝜋 ln ( 𝑏 𝑎 ) 𝐿(H/𝑚) = 𝜇 𝜋 cosh−1 ( 𝑑 2𝑎 ) 𝐺(S/𝑚) = 2𝜋𝜎 ln(𝑏/𝑎) 𝐺 (S/𝑚) = 𝜋𝜎 cosh−1 ( 𝑑 2𝑎) 𝐶(F/𝑚) = 2𝜋𝜀 ln(𝑏/𝑎) 𝐶 (F/𝑚) = 𝜋𝜀 cosh−1 ( 𝑑 2𝑎) 𝛾 = 𝛼 + 𝑗𝛽 = √(𝑅 + 𝑗𝜔𝐿)(𝐺 + 𝑗𝜔𝐶) 𝑍0 = √ 𝑅 + 𝑗𝜔𝐿 𝐺 + 𝑗𝜔𝐶 = 𝑅0 + 𝑗𝑋0 𝑉(𝑧, 𝑡) = 𝑉𝑜 +𝑒−𝛼𝑧 cos(𝜔𝑡 − 𝛽𝑧) + 𝑉𝑜 −𝑒𝛼𝑧 cos(𝜔𝑡 + 𝛽𝑧) 𝑉𝑠(𝑧) = 𝑉𝑜 +𝑒−𝛾𝑧 + 𝑉𝑜 −𝑒𝛾𝑧 𝐼𝑠(𝑧) = 𝑉𝑜 + 𝑍0 𝑒−𝛾𝑧 − 𝑉𝑜 − 𝑍0 𝑒𝛾𝑧 𝑉𝑜 + = 1 2 (𝑉𝑜 + 𝑍0𝐼𝑜) 𝑉𝑜 − = 1 2 (𝑉𝑜 − 𝑍0𝐼𝑜) 𝑉𝑜 = 𝑍𝑖𝑛 𝑍𝑖𝑛 + 𝑍𝑔 𝑉𝑔 𝐼𝑜 = 𝑉𝑔 𝑍𝑖𝑛 − 𝑍𝑔 𝑍𝑖𝑛 = 𝑍0 [ 𝑍𝐿 + 𝑍0 tanh(𝛾𝑙) 𝑍0 + 𝑍𝐿 tanh(𝛾𝑙) ] 𝑍𝑖𝑛 = 𝑍0 [ 𝑍𝐿 + 𝑗𝑍0 tan(𝛽𝑙) 𝑍0 + 𝑗𝑍𝐿 tan(𝛽𝑙) ] Γ𝐿 = 𝑍𝐿 − 𝑍0 𝑍𝐿 + 𝑍0 Γ(𝑧) = Γ𝐿𝑒 −2𝛾𝑙 𝑆𝑊𝑅 = 1 + |Γ𝐿| 1 − |Γ𝐿|
Compartilhar